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2505690 = 2325112531
BaseRepresentation
bin1001100011101111011010
311201022011100
421203233122
51120140230
6125412230
730204135
oct11435732
94638140
102505690
111461620
12a0a076
13699675
1449321c
15347660
hex263bda

2505690 has 48 divisors (see below), whose sum is σ = 7109856. Its totient is φ = 607200.

The previous prime is 2505683. The next prime is 2505691. The reversal of 2505690 is 965052.

It is a super-2 number, since 2×25056902 = 12556964752200, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2505691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276 + ... + 2255.

It is an arithmetic number, because the mean of its divisors is an integer number (148122).

22505690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2505690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3554928).

2505690 is an abundant number, since it is smaller than the sum of its proper divisors (4604166).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2505690 is a wasteful number, since it uses less digits than its factorization.

2505690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2555 (or 2552 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 2505690 is about 1582.9371434141. The cubic root of 2505690 is about 135.8237697191.

The spelling of 2505690 in words is "two million, five hundred five thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 2531 5062 7593 12655 15186 22779 25310 27841 37965 45558 55682 75930 83523 113895 139205 167046 227790 250569 278410 417615 501138 835230 1252845 2505690